Queuing problems-computer simulation

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Reference no: EM132077530

Problems: Queuing Problems

Bank of Ohio in Zanesville has a single drive-in teller window. Customers arrive at the window about every 10 minutes on average with an exponential distribution or the hourly arrival rate is λ = 6. It take an average of five minutes (exponentially distributed) to complete each customer order or the hourly service rate is μ = 12. You are asked following tasks:

Determine

Expected number of customers in the system, including those being served.
Expected number of customers in the queue, excluding those being served.
Expected waiting time in the system, including service time, for an individual customer.
Expected waiting time in the queue, excluding service time, for an individual customer.
Utilization factor
The probability that waiting time in the system exceeds 0.25 hours (15 minutes)
The probability that waiting time in the queue exceeds 0.25 hours (15 minutes)
The probability that the system has 5 customers in the system

Problem: Computer Simulation

Jack Williams operates a small mechanics shop in his hometown, Lima, Ohio. He works six days a week, Monday thru Friday, 10:00 AM to 6:00 PM and Saturdays from 9:00 AM to 12:00 PM. On a regular weekday, customers' arrival time is exponentially distributed with a mean of 45 minutes and service time is also exponentially distributed with a mean of 35 minutes. Simulate Jack Williams' shop for 100 customer arrivals to estimate Average Time in Line and Average Time in System.

Reference no: EM132077530

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